What is the least integer value of x that satisfies the... | SAT Linear inequalities in one or two variables Question, Answer Explained

Math · AlgebraEasy

What is the least integer value of $x$ that satisfies the inequality $4x + 9 > 30$ ?

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Answer: 6

Subtract $9$ from both sides: $4x > 21$ . Divide by $4$ : $x > 5.25$ . The least integer greater than $5.25$ is $6$ .

Answering $5$ rounds $5.25$ to the nearest integer, but $4(5) + 9 = 29$ , which isn't greater than $30$ .

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